The D(2)-problem for dihedral groups of order 4n

被引：4
|
作者：
O'Shea, Seamus [1 ]
机构：
[1] UCL, Dept Math, London WC1E 6BT, England
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2012年 / 12卷 / 04期
关键词：
FINITE; 2-COMPLEXES; CANCELLATION; COMPLEXES;
D O I：
10.2140/agt.2012.12.2287
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a full solution in terms of k-invariants of the D(2)-problem for D-4n, assuming that Z[D-4n] satisfies torsion-free cancellation.
引用
收藏
页码：2287 / 2297
页数：11
相关论文
共 50 条
  • [31] Automorphism Group of Dihedral Groups with Perfect Order Subsets
    Vinod, S.
    Biju, G. S.
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2021, 12 (02): : 263 - 271
  • [32] Perfect sequences over the quaternions and (4n, 2, 4n, 2n)-relative difference sets in Cn × Q8
    Santiago Barrera Acevedo
    Heiko Dietrich
    Cryptography and Communications, 2018, 10 : 357 - 368
  • [33] On groups saturated with dihedral groups and linear groups of degree 2
    Shlepkin, A. A.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2018, 15 : 74 - 85
  • [34] 4n x 4n Diffusion Layers Based on Multiple 4 x 4 MDS Matrices
    Sajadieh, Mahdi
    Mirzaei, Arash
    ISECURE-ISC INTERNATIONAL JOURNAL OF INFORMATION SECURITY, 2023, 15 (01): : 111 - 124
  • [35] Co-prime order graphs of finite Abelian groups and dihedral groups
    Sehgal, Amit
    Manjeet
    Singh, Dalip
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 23 (03): : 196 - 202
  • [36] WHITEHEAD-GROUPS OF DIHEDRAL 2-GROUPS
    KEATING, ME
    LECTURE NOTES IN MATHEMATICS, 1982, 966 : 122 - 127
  • [37] CHARACTERIZATION OF THE GROUPS D4(2N)
    TRANVANTRUNG
    JOURNAL OF ALGEBRA, 1979, 60 (02) : 520 - 537
  • [38] Perfect sequences over the quaternions and (4n, 2, 4n, 2n)-relative difference sets in Cn x Q8
    Acevedo, Santiago Barrera
    Dietrich, Heiko
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2018, 10 (02): : 357 - 368
  • [39] The Neighbourhood of Dihedral 2-Groups
    Martin Bálek
    Aleš Drápal
    Natalia Zhukavets
    Acta Applicandae Mathematica, 2005, 85 : 25 - 33
  • [40] RESONANCE ENERGIES OF UNSATURATED CYCLOPHANES WITH 4N AND (4N+2) PERIMETERS
    NORINDER, U
    WENNERSTROM, O
    ACTA CHEMICA SCANDINAVICA SERIES A-PHYSICAL AND INORGANIC CHEMISTRY, 1983, 37 (05): : 431 - 436
12345